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3 years ago

I need help in Kahn academy

Mathematics

2 answers:

gulaghasi [49]3 years ago

7 0

First, convert the mixed fractions into improper fractions:

3 $\frac{1}{8}$ = $\frac{8(3) + 1}{8}$ = $\frac{25}{8}$

1 $\frac{2}{3}$ = $\frac{3(1) + 2}{3}$ = $\frac{5}{3}$

Next, divide a fraction by multiplying by the reciprocal:

$\frac{25}{8}$ ÷ $\frac{5}{3}$ = $\frac{25}{8}$ x $\frac{3}{5}$ = $\frac{25(3)}{8(5)}$

Lastly, simplify the fraction:

$\frac{5(3)}{8}$ = $\frac{15}{8}$

Answer: $\frac{15}{8}$ = 1 $\frac{7}{8}$

Alex17521 [72]3 years ago

4 0

Please post your question.

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2 years ago

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Uber charges a $5 pickup fee and $0.25 per mile. define variables and write an equation to model this situation.

Degger [83]

Answer:

See below

Step-by-step explanation:

$5 pickup fee
$0.25 per mile

<u>Equation</u>

y = 0.25x + 5

<u>Cost of 5 miles:</u>

y = 0.25(5) + 5 = $6.25

<h3>KC yellow Cab Co.</h3>

$1.75 pickup fee
$0.75 per mile

<u>Equation</u>

y = 0.75x + 1.75

<u>Cost of 5 miles:</u>

y = 0.75(5) + 1.75 = $5.5

Comparing the cost we see KC yellow Cab Co. is better value for a 5 mile ride.

8 0

3 years ago

Write a polynomial equation of degree 4 in standard form that has the solutions i, −i, 1, −1.

Brut [27]

Answer:

x⁴ + 2 x² + 1

Step-by-step explanation:

given solution of the polynomial

i, −i, 1, −1.

equation of the polynomial will be equal to

=(x - i)(x + i)(x - 1)(x + 1)

= (x² + i x - i x - i²)(x² + x - x + 1)

=(x² - (-1))(x² + 1 )

= (x² + 1)(x² + 1)

= x⁴ + x² + x² + 1

= x⁴ + 2 x² + 1

hence, the required polynomial equation is x⁴ + 2 x² + 1

4 0

3 years ago

If 6, 18 and 24 are in proportion, which one is the third proportional number ?

Goshia [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.

jok3333 [9.3K]

Answer:

(a) $s+g=450\\g=s+30$

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

$s+g=450\\g=s+30$

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, $s+g=450$ , the x intercept is at $g=0$ . So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents $s+g=450$ .

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents $g=s+30$ .

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The $x$ value of the point of intersection is the earning of Seiji which is $ 210 and the $y$ value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0

3 years ago